GATE-2018 (24) :Wyllie – Time average equation

70) The angle of inclination of the remnant magnetization measured on a basalt flow at a location P (28^o N 85⁰ E) is 40^o. The palaeomagnetic latitude of the Basalt flow is________________ ^o N

(Thanks Anand AU)

Sol) The relation between inclination  and latitude is

$\tan i=2 tan \phi$

Inclination (i) =40^o 

 

$2tan \phi=\tan40^o=0.839$

$\tan\phi=\frac{0.839}{2}$

$\tan\phi=0.4195$

$\phi=\tan^{-1}(0.4195)$

$latitude \phi=22.7^o$ N.